Results 1 to 10 of about 642,991 (69)

Twisted K-theory and K-theory of bundle gerbes [PDF]

, 2001
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in non-trivial backgrounds ...
Bouwknegt, P., Carey, A. L., Mathai, V., Murray, M. K., Stevenson, D.   +4 more
core   +4 more sources

Hyperdescent and \'etale K-theory

, 2021
We study the \'etale sheafification of algebraic K-theory, called \'etale K-theory. Our main results show that \'etale K-theory is very close to a noncommutative invariant called Selmer K-theory, which is defined at the level of categories. Consequently,
Clausen, Dustin, Mathew, Akhil
core   +1 more source

Algebraic Kasparov K-theory. I [PDF]

, 2014
This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov $K$-theory spectra of $k$-algebras. These are shown to be homotopy invariant, excisive in each variable $K$-theories. We prove that the spectra represent universal
Cuntz, Dundas, Garkusha, Jardine, Karoubi, Kasparov, Morel, Verdier, Voevodsky, Voevodsky, Voevodsky   +10 more
core   +3 more sources

Differential K-theory. A survey [PDF]

, 2011
Generalized differential cohomology theories, in particular differential K-theory (often called "smooth K-theory"), are becoming an important tool in differential geometry and in mathematical physics.
Bär, Christian, Lohkamp, Joachim, Schwarz, Matthias   +2 more
core   +1 more source

Higher algebraic K-theory for actions of diagonalizable groups [PDF]

, 2003
We study the K-theory of actions of diagonalizable group schemes on noetherian regular separated algebraic spaces: our main result shows how to reconstruct the K-theory ring of such an action from the K-theory rings of the loci where the stabilizers have
Vezzosi, Gabriele, Vistoli, Angelo
core   +4 more sources

D-branes, Orientifolds and K-theory [PDF]

, 2001
The complete D-brane spectrum in ZZ[squared] orientifolds is computed. Stable non-BPS D-branes with both integral and torsion charges are found.
Bertolini, M., Campos V.L, Ferretti, G., Fre, P., Salomonson, P., Trigiante, Mario   +5 more
core   +27 more sources

Degree formula for connective K-theory [PDF]

, 2008
We apply the degree formula for connective $K$-theory to study rational contractions of algebraic varieties.
A. Ducros, A. Merkurjev, A. Merkurjev, G. Berhuy, J. Kollár, J.-L. Colliot-Thélène, J.-L. Colliot-Thélène, K. Zainoulline, M. Levine, N. Karpenko, W. Fulton   +10 more
core   +2 more sources

Algebraic K-theory of the first Morava K-theory

, 2011
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology.Comment: Revised version, to appear in J. Eur. Math.
Ausoni, Christian, Rognes, John
core   +1 more source

The localization sequence for the algebraic K-theory of topological K-theory

, 2006
We prove a conjecture of Rognes by establishing a localization cofiber sequence of spectra, K(Z) to K(ku) to K(KU) to Sigma K(Z), for the algebraic K-theory of topological K-theory. We deduce the existence of this sequence as a consequence of a devissage
Andrew J. Blumberg, C. Ausoni, C. Ausoni, J. E. McClure, Michael A. Mandell   +4 more
core   +2 more sources

On the algebraic K-theory of the complex K-theory spectrum

, 2010
Let p>3 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. We study the p-primary homotopy type of the spectrum K(ku) by computing its mod (p,v_1) homotopy groups.
A. Borel, A.D. Elmendorf, A.J. Blumberg, B.I. Dundas, Ch. Ausoni, Ch. Ausoni, Ch. Ausoni, Ch. Ausoni, Ch. Schlichtkrull, Christian Ausoni, D.C. Ravenel, H. Toda, J. Milnor, J. Rognes, J. Rognes, J.-L. Loday, J.E. McClure, J.P. May, J.P. May, L. Hesselholt, L. Hesselholt, M. Bökstedt, M. Bökstedt, M. Bökstedt, M. Hovey, M.J. Hopkins, N.A. Baas, P.G. Goerss, R.R. Bruner, R.W. Thomason, S. Oka, S. Tsalidis, S.A. Mitchell, V. Snaith, W. Browder, W.G. Dwyer   +35 more
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